If 54 + 22 = 38, 25 + 35 = 30, 91 + 13 = 52, then 12 + 64 = ?

Concept: In a coded-equation number series, first find ONE arithmetic rule that reproduces the stated result for every given pair, not just one; only a rule that holds for ALL given examples can be trusted, then apply that same rule to the unknown pair.

1. Test the rule ‘divide the sum of the two numbers by 2’ on the first equation: 54 + 22 = 76, and 76 ÷ 2 = 38, which matches the given result.

2. Test the same rule on the second equation: 25 + 35 = 60, and 60 ÷ 2 = 30, which matches the given result.

3. Test the same rule on the third equation: 91 + 13 = 104, and 104 ÷ 2 = 52, which matches the given result.

4. Since the rule holds for all three given equations, apply it to 12 + 64: 12 + 64 = 76, and 76 ÷ 2 = 38.

Cross-check: 38 × 2 = 76, which equals 12 + 64, confirming the computed value is exactly 38.

Comparing 38 with the listed numeric values (36.2, 45.3, 38.5) shows none of them equals 38, so the correct response is the option stating that none of the given values match.